1316 FANG, KRÖGER, AND ÖTTINGER <strong>Kröger</strong>, M., W. Loose, and S. Hess, ‘‘Rheology and structural changes of polymer melts via nonequilibrium molecular dynamics,’’ J. Rheol. 37, 1057–1079 1993. Laso, M. and H. C. Öttinger, ‘‘Calculation of viscoelastic flow using molecular models: the CONNFFESSIT approach,’’ J. Non-Newtonian Fluid Mech. 47, 1–20 1993. Marrucci, G., ‘‘The Doi-Edwards model without independent alignment,’’ J. Non-Newtonian Fluid Mech. 21, 329–336 1986. Marrucci, G., ‘‘Dynamics of entanglements: A nonlinear model consistent with the Cox-Merz rule,’’ J. Non- Newtonian Fluid Mech. 62, 279–289 1996. Marrucci, G. and N. Grizzuti, ‘‘The Doi-Edwards model in slow flows. Predictions on the weissenberg effect,’’ J. Non-Newtonian Fluid Mech. 21, 319–328 1986. Marrucci, G. and N. Grizzuti, ‘‘Fast flow of concentrated polymers: Predictions of the tube model on chain stretching,’’ Gazz. Chim. Ital. 118, 179–185 1988. Mead, D. W., ‘‘Orientation angle transients in step shear rate experiments on lightly entangled systems of linear flexible polymers,’’ In Proceeding of the 12th International Congress on Rheology, Aug. 18–23, 1996, edited by Aït-Kadi, A., J. M. Dealy, D. F. James, and M. C. Williams Canadian Rheology Group, Quebec City, Canada, 1996. Mead, D. W. and R. G. Larson, ‘‘Rheooptical study of isotropic solutions of stiff polymers,’’ Macromolecules 23, 2524–2533 1990. Mead, D. W. and L. G. Leal, ‘‘The reptation model with segmental stretch I. Basic equations and general properties,’’ Rheol. Acta 34, 339–359 1995. Mead, D. W., D. Yavich, and L. G. Leal, ‘‘The reptation model with segmental stretch II. Steady flow properties,’’ Rheol. Acta 34, 360–383 1995. Mead, D. W., R. G. Larson, and M. Doi, ‘‘A molecular theory for fast flows of entangled polymers,’’ Macromolecules 31, 7895–7914 1998. Menezes, E. V. and W. W. Graessley, ‘‘Nonlinear rheological behavior of polymer systems for several shear flow histories,’’ J. Polym. Sci., Polym. Phys. Ed. 20, 1817–1833 1982. Munstedt, H. and H. M. Laun, ‘‘Elongational properties and molecular structure of polyethylene melts,’’ Rheol. Acta 20, 211–221 1981. Nishioka, A., T. Takahashi, Y. Masubuchi, J.-I. Takimoto, and K. Koyama, ‘‘Description of uniaxial, biaxial, and planar elongational viscosities of polystyrene melt by the K-BKZ model,’’ J. Non-Newtonian Fluid Mech. 89, 287–301 2000. Oberhauser, J. P., L. G. Leal, and D. W. Mead, ‘‘The response of entangled polymer solutions to step changes of shear rate: signatures of segmental stretch?,’’ J. Polym. Sci., Part B: Polym. Phys. 36, 265–280 1998. O’Connor, N. P. T. and R. C. Ball, ‘‘Confirmation of the Doi-Edwards model,’’ Macromolecules 25, 5677– 5682 1992. Osaki, K. and M. Kurata, ‘‘Experimental appraisal of the Doi-Edwards theory for polymer rheology based on the data for polystyrene solutions,’’ Macromolecules 13, 671–676 1980. Osaki, K., S. Kimura, and M. Kurata, ‘‘Relaxation of shear and normal stresses in double-step shear deformations for a polystyrene solution. A test of the Doi-Edwards theory for polymer rheology,’’ J. Rheol. 25, 549–562 1981. Öttinger, H. C., ‘‘Computer simulation of reptation theories. I. Doi-Edwards and Curtiss-Bird models,’’ J. Chem. Phys. 91, 6455–6462 1989. Öttinger, H. C., ‘‘Modified reptation model,’’ Phys. Rev. E 50, 4891–4895 1994. Öttinger, H. C., ‘‘Nonequilibrium thermodynamics—A tool for applied rheologists,’’ Appl. Rheol. 9, 17–26 1999a. Öttinger, H. C., ‘‘A thermodynamically admissible reptation model for fast flows of entangled polymers,’’ J. Rheol. 43, 1461–1493 1999b. Öttinger, H. C., ‘‘Thermodynamically admissible reptation models with anisotropic tube cross sections and convective constraint release,’’ J. Non-Newtonian Fluid Mech. 89, 165–185 2000. Öttinger, H. C. and A. N. Beris, ‘‘Thermodynamically consistent reptation model without independent alignment,’’ J. Chem. Phys. 110, 6593–6596 1999. Öttinger, H. C. and M. Grmela, ‘‘Dynamics and thermodynamics of complex fluids. II. Illustrations of a general formalism,’’ Phys. Rev. E 56, 6633–6655 1997. Öttinger, H. C., B. H. A. A. van den Brule, and M. A. Hulsen, ‘‘Brownian configuration fields and variance reduced CONNFFESSIT,’’ J. Non-Newtonian Fluid Mech. 70, 255–261 1997. Pearson, D. S., A. D. Kiss, and L. J. Fetters, ‘‘Flow-induced birefringence of concentrated polyisoprene solutions,’’ J. Rheol. 33, 517–535 1989. Pearson, D. S., E. A. Herbolzheimer, G. Marrucci, and N. Grizzuti, ‘‘Transient behavior of entangled polymers at high shear rates,’’ J. Polym. Sci., Polym. Phys. Ed. 29, 1589–1597 1991. Schweizer, T. personal communication, 1999. Stratton, R. A., ‘‘The dependence of non-Newtonian viscosity on molecular weight for ‘monodisperse’ polystyrene,’’ J. Colloid Interface Sci. 22, 517–530 1966.
THERMODYNAMICALLY ADMISSIBLE REPTATION MODEL 1317 Takahashi, T., J. Takimoto, and K. Koyama, ‘‘Elongational viscosity for miscible and immiscible polymer blends. I. PMMA and AS with similar elongational viscosity,’’ J. Appl. Polym. Sci. 73, 757–766 1999. Tsenoglou, C., ‘‘Viscoelasticity of binary homopolymer blends,’’ ACS Polym. Preprints 28, 185–186 1987. van Heel, A. P. G., M. A. Hulsen, and B. H. A. A. van den Brule, ‘‘Simulation of the Doi–Edwards model in complex flow,’’ J. Rheol. 43, 1239–1260 1999. Venerus, D. C. and H. Kahvand, ‘‘Doi–Edwards theory evaluation in double-step strain flows,’’ J. Polym. Sci., Part B: Polym. Phys. 32, 1531–1542 1994a. Venerus, D. C. and H. Kahvand, ‘‘Normal stress relaxation in reversing double-step strain flows,’’ J. Rheol. 38, 1297–1315 1994b.
Change language